Suitability of the selected statistical distributions for fitting diameter data in distinguished development stages and phases of near-natural mixed forests in the Świętokrzyski National Park (Poland)

Podlaski, Rafał

doi:10.1016/j.foreco.2006.09.032

Cited by 25 publications

(23 citation statements)

References 24 publications

(25 reference statements)

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“…Similar results, giving a proof of suitability of Weibull and gamma distributions for describing the DBH distribution of natural mixed Abies-Fagus stands in various developmental phases, were reported by Podlaski (2006). Other authors have obtained the best results for S B Johnson, Weibull, and beta distributions in Abies stands (Zasada 1995), and for lognormal, Weibull, and beta distributions in Fagus stands Dudzińska 1999, 2001).…”

Section: Discussionsupporting

confidence: 82%

“…Normal, lognormal, Weibull, gamma, logistic, and exponential distribution suitably approximated empirical DBH distributions in stands with Abies and Fagus in Central Poland (Zasada 1995;Dudzińska 1999, 2001;Podlaski 2006) and their parameters are relatively easy to calculate (e.g. Zarnoch and Dell 1985; Borders et al 1987;Borders and Patterson 1990).…”

Section: Discussionmentioning

confidence: 99%

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Comparison of selected statistical distributions for modelling the diameter distributions in near-natural Abies–Fagus forests in the Świętokrzyski National Park (Poland)

Podlaski

Zasada

2008

Eur J Forest Res

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The aim of the study is to compare selected theoretical distributions (normal, lognormal, Weibull, gamma, logistic, and exponential) in describing the tree diameter (DBH) distributions of mixed near-natural forests consisting of fir Abies alba Mill. and beech Fagus sylvatica L. growing in various vertical structures. Tree DBH data were collected between 1997 and 2008 from 51 sample plots established in the Ś więtokrzyski National Park in Poland. The empirical data represent differentiated DBH distributions, ranging from almost symmetric to extremely asymmetric ones. The chi-square test and the modified Kolmogorov-Smirnov test were chosen for the goodnessof-fit testing. In addition to the test statistics, the bias (B), the root mean square error (RMSE) and the graphical method (quantile-quantile plots) were used. In one-storied stands, the most suitable distributions were the normal and logistic distributions; in two-storied and multilayered stands, the Weibull and gamma distribution were the most suitable; and in selection stands, the exponential distribution was the most appropriate to describe the DBH distribution. The order of precision of the tested distributions (from the highest to the lowest) was Weibull, gamma, logistic, normal, exponential, and lognormal. The normal and exponential distribution should be applied only to one-storied and selection forests, respectively. The least suitable distribution for DBH distribution modelling was the lognormal one.

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Section: Discussionsupporting

confidence: 82%

Section: Discussionmentioning

confidence: 99%

Comparison of selected statistical distributions for modelling the diameter distributions in near-natural Abies–Fagus forests in the Świętokrzyski National Park (Poland)

Podlaski

Zasada

2008

Eur J Forest Res

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“…Podlaski 2006Podlaski , 2010Podlaski and Zasada 2008). This type of regularity is most clearly observable in the case of the stands with typical multimodal DBH distributions.…”

Section: Discussionmentioning

confidence: 73%

Modelling irregular and multimodal tree diameter distributions by finite mixture models: an approach to stand structure characterisation

Jaworski

Podlaski

2012

Journal of Forest Research

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Tree structural diversity is assessed by modelling stand diameter at breast height (DBH) distribution. The aim of this study was to verify the suitability of a mixture of two-and three-component Weibull and gamma models for describing irregular and multimodal DBH distributions. Investigations were carried out in natural Abies alba Mill. and Fagus sylvatica L. stands, representing the growing-up stage, in the Ś więtokrzyski National Park (Central Poland) and in the Pieniny National Park (Southern Poland). Sample plots (0.25-0.5 ha in area) were selected from a database used for forest dynamics analysis. The parameters of the mixture model were estimated using maximum likelihood estimation (MLE) and a combination of an expectation-maximisation (EM) algorithm with a Newton-type (NT) method. The multistart method (MM) of choosing initial values was used. The DBH distributions in mixed Abies-Fagus forests of complex structure were accurately approximated by two-and three-component mixture models. The root mean square error (RMSE) values varied from 3.4515 to 7.6682 for the Weibull mixture and from 3.6457 to 7.1419 for the gamma mixture. The results indicated that the mixture Weibull and gamma models were, in general, equally suitable for modelling irregular and multimodal DBH distributions. Finite mixture models may be used to characterise tree structural diversity, especially in uneven-aged stands of complex structure.

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“…The distribution behavior provides information on the area successional stages; hence it is possible to describe the structure of the whole forest or of one species due to the great amount of individuals sampled within the first diameter (Podlaski 2006). This type of decreasing distribution in dry forests indicates that the regeneration is continuously happening as a consequence of the species' ability to adapt to extremely dry environments (Segura et al 2003, Powers et al 2009, Gunkel et al 2013, Ferreira et al 2015.…”

Section: Discussionmentioning

confidence: 99%

“…Information on current diameter distribution of a forest stand allows prediction of its future structure which provides even better support for sustainable forest ROBSON B. DE LIMA et al management (Clutter et al 1983, Borders et al 1987, Vanclay 1994, Podlaski 2006.…”

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confidence: 99%

Diameter distribution in a Brazilian tropical dry forest domain: predictions for the stand and species

Lima

Bufalino

Alves

et al. 2017

An. Acad. Bras. Ciênc.

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Currently, there is a lack of studies on the correct utilization of continuous distributions for dry tropical forests. Therefore, this work aims to investigate the diameter structure of a brazilian tropical dry forest and to select suitable continuous distributions by means of statistic tools for the stand and the main species. Two subsets were randomly selected from 40 plots. Diameter at base height was obtained. The following functions were tested: log-normal; gamma; Weibull 2P and Burr. The best fits were selected by Akaike's information validation criterion. Overall, the diameter distribution of the dry tropical forest was better described by negative exponential curves and positive skewness. The forest studied showed diameter distributions with decreasing probability for larger trees. This behavior was observed for both the main species and the stand. The generalization of the function fitted for the main species show that the development of individual models is needed. The Burr function showed good flexibility to describe the diameter structure of the stand and the behavior of Mimosa ophthalmocentra and Bauhinia cheilantha species. For Poincianella bracteosa, Aspidosperma pyrifolium and Myracrodum urundeuva better fitting was obtained with the log-normal function.

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Suitability of the selected statistical distributions for fitting diameter data in distinguished development stages and phases of near-natural mixed forests in the Świętokrzyski National Park (Poland)

Cited by 25 publications

References 24 publications

Comparison of selected statistical distributions for modelling the diameter distributions in near-natural Abies–Fagus forests in the Świętokrzyski National Park (Poland)

Comparison of selected statistical distributions for modelling the diameter distributions in near-natural Abies–Fagus forests in the Świętokrzyski National Park (Poland)

Modelling irregular and multimodal tree diameter distributions by finite mixture models: an approach to stand structure characterisation

Diameter distribution in a Brazilian tropical dry forest domain: predictions for the stand and species

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